From the 1 of 3 linked papers with an AI index.
3 papers
math.DS2026
Klingenberg's theorem on Anosov geodesic flows
Rotem Assouline, Marco Mazzucchelli
In 1970, Klingenberg proved a fundamental result on closed Riemannian manifolds with Anosov geodesic flows, asserting that such manifolds are without conjugate points. The proof, b…
math.SG2026
On flat translated chains of contactomorphisms of and
Marco Mazzucchelli, Sheila Sandon
The paper defines flat translated chains of contactomorphisms and proves that any non‑trivial compactly supported contactomorphism of ℝ^{2n+1} or ℝ^{2n}×S^1 isotopic to the identit…
math.SG2024
Barcode entropy of geodesic flows
Viktor L. Ginzburg, Basak Z. Gurel, Marco Mazzucchelli
We introduce and study the barcode entropy for geodesic flows of closed Riemannian manifolds, which measures the exponential growth rate of the number of not-too-short bars in the…